Bi-Lipschitz embeddings revisited

Abstract

Given a metric space (X, d), we continue our study of the distance function x\mapsto d(x,-) and its relation to bi-Lipschitz embeddings of (X, d) into R^N. As application, given a compact metric-measure space (X, d,μ), we give three sufficient conditions for the existence of such a bi-Lipschitz embedding.